Proof strategies in linear logic

Abstract

Linear logic, introduced by J.-Y. Girard, is a refinement of classical logic providing means for controlling the allocation of “resources”. It has aroused considerable interest from both proof theorists and computer scientists. In this paper we investigate methods for automated theorem proving in propositional linear logic. Both the “bottom-up” (tableaux) and “top-down” (resolution) proof strategies are analyzed. Various modifications of sequent rules and efficient search strategies are presented along with the experiments performed with the implemented theorem provers.